chore: Migrate from ESLint to Oxlint [internal]

[fnesveda]

We are migrating from ESLint to Oxlint, as it is a lot faster. We've already migrated apify-core,
where it resulted in a ~50x speedup, and now we're migrating other repositories for consistency.

The migration itself is super simple:

1. add oxlint, oxlint-tsgolint and @apify/oxlint-config to package.json
2. remove eslint, @apify/eslint-config and any other eslint-related packages from package.json
3. add oxlint.config.ts which just exports defineConfig({ options: { typeAware: true } }) from the shared config (unless any overrides are needed)
4. remove eslint.config.ts
5. replace eslint usage in scripts with oxlint
6. call npm run lint to verify everything works, and fix any issues that come up

There are some additional steps that might be necessary, since Oxlint catches some issues that ESLint didn't.

1. Update @apify/tsconfig package to get rid of unsupported config values
2. Fix any TSConfig issues that come up after the update (e.g. unsupported values of module and moduleResolution)
3. Fix any Typescript issues that appear afterwards

This PR does just that.

close: #840

[jirispilka]

Thanks Franto!